A POINCARÉ BIFURCATION OF A CLASS OF HAMILTONIAN SYSTEM WITH CUBIC SOLUTIONS DISTURBED BY A CUBIC POLYNOMIAL
The cubic function
is a Hamiltonian function of the following system:
which can be bifurcated out at least four limit cycles after a cubic polynomial disturbance, i.e.,
Hamiltonian quadratic system, Poincaré bifurcation, limit cycle.
